Question

select the transformations that can be used when it is important to preserve angle measure. (select all that apply.) horizontal translations reflections clockwise rotations dilations vertical translations counterclockwise rotations

Explanation:

Step1: Recall isometry properties

Isometric transformations preserve angle - measure. Translations, reflections, and rotations are isometric.

Step2: Analyze each option

• Horizontal translations: They are rigid motions and preserve angle - measure.
• Reflections: They are rigid motions and preserve angle - measure.
• Clockwise rotations: They are rigid motions and preserve angle - measure.
• Dilations: They change the size of a figure and do not preserve angle - measure (except in the case of a dilation with a scale factor of 1).
• Vertical translations: They are rigid motions and preserve angle - measure.
• Counterclockwise rotations: They are rigid motions and preserve angle - measure.

Answer:

Horizontal Translations, Reflections, Clockwise Rotations, Vertical Translations, Counterclockwise Rotations